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Finding the Third Proportional to 21,311 and 33,089

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Solution

The third proportional to 21,311 and 33,089 is: 51,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311 : 33,089 = 33,089 : x
  2. Step 2: Convert to fraction form
    21,311/33,089 = 33,089/x
  3. Step 3: Cross multiply
    21,311x = 33,089 × 33,089
  4. Step 4: Simplify right side
    21,311x = 1,094,881,921
  5. Step 5: Solve for x
    x = 1,094,881,921/21,311
  6. Step 6: Final answer
    x = 51,376.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.